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@lendle
Last active August 29, 2015 14:03
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Earth Example
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{
"metadata": {
"language": "Julia",
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"using Earth, Winston"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Scalar predictor and outcome"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#generate some data\n",
"n = 100\n",
"x = rand(n)\n",
"y = sin(4 .* x)\n",
"\n",
"#fit with earth and get the predicted values\n",
"earthfit = earth(x, y)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"EarthFit\n",
"Number of predictors: 1\n",
"Number of outcomes: 1\n",
"Number of terms: 5\n",
"Max terms: 21\n",
"Best GCV: 0.0003340707717663447"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot true (black dots) and predicted (red circles) outcomes\n",
"yhat = predict(earthfit, x)\n",
"plot(x, y, \".\", x, yhat, \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 3,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Multivariate predictor, scalar outcome"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x2 = rand(n, 2)\n",
"y2 = sin(4 .* x2[:, 1]) + cos(8 .* x2[:, 2])\n",
"\n",
"earthfit2 = earth(x2, y2)\n",
"yhat2 = predict(earthfit2, x2);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot vs 1st predictor\n",
"plot(x2[:, 1], y2, \".\", x2[:, 1], yhat2, \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 5,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot vs 2nd predictor\n",
"plot(x2[:, 2], y2, \".\", x2[:, 2], yhat2, \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 6,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Multivariate outcome"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y3 = [y2 x2[:, 1] .* x2[:, 2] .- x2[:, 2]./2]\n",
"earthfit3 = earth(x2, y3)\n",
"yhat3 = predict(earthfit3, x2);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#1st predictor vs 2nd outcome\n",
"plot(x2[:, 1], y3[:, 2], \".\", x2[:, 1], yhat3[:, 2], \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 8,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#2nd predictor vs 2nd outcome\n",
"plot(x2[:, 2], y3[:, 2], \".\", x2[:, 2], yhat3[:, 2], \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 9,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#oh well, can't win 'em all\n",
"#predictions of the first outcome variable still look good\n",
"plot(x2[:, 2], y3[:, 1], \".\", x2[:, 2], yhat3[:, 1], \"ro\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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",
"prompt_number": 10,
"text": [
"FramedPlot(...)"
]
}
],
"prompt_number": 10
}
],
"metadata": {}
}
]
}
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